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2073600 = 2103452

2073600 has 165 divisors, whose sum is σ = 7678297. Its totient is φ = 552960.

The previous prime is 2073563. The next prime is 2073601. The reversal of 2073600 is 63702.

The square root of 2073600 is 1440.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ (2!)2.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 1327104 = 864^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2073601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 414718 + ... + 414722.

22073600 is an apocalyptic number.

2073600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2073600 is the 1440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073600

2073600 is an abundant number, since it is smaller than the sum of its proper divisors (5604697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2073600 is an equidigital number, since it uses as much as digits as its factorization.

2073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The cubic root of 2073600 is about 127.5190283019.

The spelling of 2073600 in words is "two million, seventy-three thousand, six hundred".